Effective decorrelation of Hecke eigenforms

Huang, Bingrong

doi:10.1090/tran/9215

Effective decorrelation of Hecke eigenforms
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by Bingrong Huang;

Trans. Amer. Math. Soc. 377 (2024), 6669-6693

DOI: https://doi.org/10.1090/tran/9215

Published electronically: June 21, 2024

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Abstract:

In this paper, we prove effective quantitative decorrelation of values of two Hecke eigenforms as the weight goes to infinity. As consequences, we get an effective version of equidistribution of mass and zeros of certain linear combinations of Hecke eigenforms.

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